The spectra of 1-forms on simply connected compact irreducible Riemannian symmetric spaces (Q1058771)
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scientific article; zbMATH DE number 3901706
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The spectra of 1-forms on simply connected compact irreducible Riemannian symmetric spaces |
scientific article; zbMATH DE number 3901706 |
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The spectra of 1-forms on simply connected compact irreducible Riemannian symmetric spaces (English)
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1983
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Let G/K be a simply connected irreducible Riemannian symmetric space. The spectrum of the Laplacian on \(\Lambda^ 1(G/K)\) is essentially a problem in the representation theory of G. The author determines the multiplicities of the representations involved assuming that one of two conditions is imposed. This is closely related to work of Dzyadyk. The author considers in detail the examples \(SU(p+1)/S(U(p)\times U(q))\) and \(G_ 2/SU(2)\times SU(2)\).
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multiplicities of representations
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irreducible Riemannian symmetric space
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spectrum of the Laplacian
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representation theory
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